I think that governments should be tackling both Edge and Chrome at the same time. One of them for underhanded tactics, another for being a monopoly. Tackling only one of them is not enough.
I also think that Microsoft's strategy is worse than just underhanded - it stinks stupidity from a distance. It's clearly backfiring - this is not the first Browser Wars any more, people nowadays have a good grasp on what a browser is supposed to be. And while some pressure might convert a few users, too much pressure is bound to create resistance, even on users that would be otherwise inclined to follow you like cattle.